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Finding the Third Proportional to 102,728 and 220,784

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Solution

The third proportional to 102,728 and 220,784 is: 474,511.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,728 : 220,784 = 220,784 : x
  2. Step 2: Convert to fraction form
    102,728/220,784 = 220,784/x
  3. Step 3: Cross multiply
    102,728x = 220,784 × 220,784
  4. Step 4: Simplify right side
    102,728x = 48,745,574,656
  5. Step 5: Solve for x
    x = 48,745,574,656/102,728
  6. Step 6: Final answer
    x = 474,511.08

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.